theory, a preorder or quasiorder is a binary relation that is reflexive and transitive. The name preorder is meant to suggest that preorders are almost...

while (leaf + 1) % (k * 2) ≠ k i ← (i - 1)/2 k ← 2 * k return i procedure preorder(array) i ← 0 while i ≠ array.size visit(array[i]) if i = size - 1 i ← size...

and are in turn generalized by (strictly) partially ordered sets and preorders. There are several common ways of formalizing weak orderings, that are...

canonical preorder (specialization preorder) we obtain a representation of the interior algebra as a canonical preorder field. By replacing the preorder by its...

A preorder economy is a type of proposed future economy where the exact demand for goods is known ahead of time, before any material production takes place...

up preorder in Wiktionary, the free dictionary. The term preorder may refer to: In mathematics: Preorder, a reflexive, transitive relation Preorder field...

simulation preorder—is indeed a preorder relation. Note that there can be more than one relation that is both a simulation and a preorder; the term simulation...

mathematics known as topology, the specialization (or canonical) preorder is a natural preorder on the set of the points of a topological space. For most spaces...

In mathematics, a directed set (or a directed preorder or a filtered set) is a preordered set in which every finite subset has an upper bound. In other...

editions, and preorder bonuses". ESPN. Retrieved June 20, 2025. Bitner, Jon (April 24, 2025). "Madden NFL 26 For Switch 2 - Preorder First Entry For...

leximin order is a total preorder on finite-dimensional vectors. A more accurate but less common term is leximin preorder. The leximin order is particularly...

{\displaystyle \left(I_{a},\leq \right)} is a preordered set. Then the product preorder on ∏ a ∈ A I a {\displaystyle \prod _{a\in A}I_{a}} is defined by declaring...

Limited Run #68: Black Bird [PREORDER]". Limited Run Games. Retrieved 2021-04-30. "Limited Run #304: Blasphemous (PS4) [PREORDER]". Limited Run Games. Retrieved...

Peters, Jay (January 22, 2020). "Nintendo doesn't have to refund digital preorders, according to European court". The Verge. Retrieved January 22, 2020....

Alexandrov topology is one whose open sets are the upper sets for some preorder on the space. Spaces with an Alexandrov topology are also known as Alexandrov-discrete...

well as transitive, so it is a preorder, R = { (1,1), (2,2), (3,3) } is reflexive as well as transitive, another preorder, R = { (1,2), (2,3), (1,3) } is...

ordering, or rewrite preorder. If the latter (→) is moreover well-founded, it is called a reduction ordering, or a reduction preorder. Given a binary relation...

of a preorder has to be mentioned. A preorder is a relation that is reflexive and transitive, but not necessarily antisymmetric. Each preorder induces...

ground set. A preorder is a reflexive and transitive relation. The difference between a preorder and a partial-order is that a preorder allows two different...

can be recovered from a natural preorder on X called the specialization preorder. For points x and y in X this preorder is defined by x ≤ y if and only...

x ∈ X such that xRy. A preorder is a relation that is reflexive and transitive. A total preorder, also called linear preorder or weak order, is a relation...

theorem proving and term rewriting, the containment, or encompassment, preorder (≤) on the set of terms, is defined by s ≤ t if a subterm of t is a substitution...

induced by the preorder is defined similarly in terms of the down-sets. The preorder inducing the upper topology is its specialization preorder, but the specialization...

in preorder and number the nodes. Parent nodes in the forest now have lower numbers than child nodes. For each node v {\displaystyle v} in preorder (denoting...

Monsters of the Universe: Come Out and Plague is the sixth studio album by horror punk musician Wednesday 13. The album was released on January 12, 2015...

V, which had the highest-grossing game launch—including $1 billion in preorders. Rumours suggested the game's budget surpassed $1–2 billion, making it...

one, the discrete one, and the Sierpiński topology. The specialization preorder on the Sierpiński space {a,b} with {b} open is given by: a ≤ a, b ≤ b,...

Max, Buondonno (26 July 2023). "The Samsung Galaxy Watch 6 is up for preorder now — here's your first look". CNN. Kate, Kozuch (26 July 2023). "Samsung...

concepts Binary relation Boolean algebra Cyclic order Lattice Partial order Preorder Total order Weak ordering Results Boolean prime ideal theorem Cantor–Bernstein...

orderings in which some pairs are comparable and others might not be Preorders, a generalization of partial orders allowing ties (represented as equivalences...